The ratio of the densities of three liquid is 1/2:1/3:1. If they are mixed in (i) equal volume (ii) equal mass then what will be the densities of their mixtures?
Answers
Given : The ratio of the densities of three liquid is 1/2:1/3:1
To find : densities of their mixtures . If they are mixed in (i) equal volume (ii) equal mass
Solution:
1/2:1/3:1
Density = Mass / Volume
=> Mass = Density * Volume
mixed in (i) equal volume V each
Total Volume = 3V
Total Mass = V(1/2) + V(1/3) + V(1) = (3V + 2V + 6V)/6
= 11V/6
Density = (11V/6)/(3V) = 11/18
Density = 11/18
mixed in (ii) equal mass = M Each
Total Mass = 3M
Total Volume = M/(1/2) + M/(1/3) + M/1 = 2M + 3M + M = 6M
Density = 3M/6M = 1/2
Density will be 1/2
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